Question

7. The NPV and payback period What information does the payback period provide? Suppose you are evaluating a project with the expected future cash inflows shown in the following table. Your boss has asked you to calculate the project's net present value (NPV). You don't know the project's initial cost, but you do know the project's regular, or conventional, payback period is 2.50 years. Year Year 1 Year 2 Year 3 Year 4 Cash Flow $350,000 $450,000 $475,000 $450,000 If the project's weighted average cost of capital (WACC) is 8%, the project's NPV (rounded to the nearest dollar) is: $361,200 $380,210 $456,252 $342,189 Which of the following statements indicate a disadvantage of using the regular payback period (not the discounted payback period) for capital budgeting decisions? Check all that apply. The payback period does not take the time value of money into account. The payback period does not take the project's entire life into account. The payback period is calculated using net income instead of cash flows.

Answer 1

Calculation of initial investment: Payback period = 2.5 years so, initial investment = 1year cash flow + 2 year cash flow +0.5 of year 3 cash flow initial investment = $1,037,500 (350000+450000)+(475000*0.5) YEAR cash flows -$1,037,500.00 $350,000.00 $450,000.00 $475,000.00 $450,000.00 pv @ 8% 1.0000 0.9259 0.8573 0.7938 0.7350 discounted cash flows [cash flows x pv ] $1,037,500.00 $324,074.07 $385,802.47 $377,070.31 $330,763.43 $380,210 NPV The payback period does not take the project's entire life into account. The payback period does not take the time value of money into account.